{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:4PJQKC7YKZIPU7IWFSDNO3YVQW","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"3a678e38e5c7608c6dbee0657916474793465bb1585099d880dedfa86efb2d47","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-08-29T09:52:18Z","title_canon_sha256":"7034b778186643305efa5e385c72f3674a8c010e40c083982050a2c970e8fb4b"},"schema_version":"1.0","source":{"id":"1608.07968","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.07968","created_at":"2026-05-18T01:07:49Z"},{"alias_kind":"arxiv_version","alias_value":"1608.07968v1","created_at":"2026-05-18T01:07:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.07968","created_at":"2026-05-18T01:07:49Z"},{"alias_kind":"pith_short_12","alias_value":"4PJQKC7YKZIP","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"4PJQKC7YKZIPU7IW","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"4PJQKC7Y","created_at":"2026-05-18T12:29:58Z"}],"graph_snapshots":[{"event_id":"sha256:45ad72dbf65ccb3ddf6666da25e9afaa4c53af501d799a480b52cb1d81da2baf","target":"graph","created_at":"2026-05-18T01:07:49Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We consider non-Kaehler compact complex manifolds which are homogeneous under the action of a compact Lie group of biholomorphisms and we investigate the existence of special (invariant) Hermitian metrics on these spaces. We focus on a particular class of such manifolds comprising the case of Calabi-Eckmann manifolds and we prove the existence of an invariant Hermitian metric which is Chern-Einstein, namely whose second Ricci tensor of the associated Chern connection is a positive multiple of the metric itself. The uniqueness is also discussed.","authors_text":"Fabio Podest\\`a","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-08-29T09:52:18Z","title":"Homogeneous Hermitian manifolds and special metrics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.07968","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:2ac52e5b05c0ec18c1333c0a760b3a8bed09f8edaaf33d50bc3f8c8815d2a7a1","target":"record","created_at":"2026-05-18T01:07:49Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"3a678e38e5c7608c6dbee0657916474793465bb1585099d880dedfa86efb2d47","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-08-29T09:52:18Z","title_canon_sha256":"7034b778186643305efa5e385c72f3674a8c010e40c083982050a2c970e8fb4b"},"schema_version":"1.0","source":{"id":"1608.07968","kind":"arxiv","version":1}},"canonical_sha256":"e3d3050bf85650fa7d162c86d76f1585bce5239f7938e1cd5719c5a34cb01ef5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e3d3050bf85650fa7d162c86d76f1585bce5239f7938e1cd5719c5a34cb01ef5","first_computed_at":"2026-05-18T01:07:49.495599Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:07:49.495599Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aNcQaXd5Rzso+ytS4RIi2Fu4dIlO2vZFgr8wqxxkIr7IwrpB01MgDhAPwIJNRsZdUQpUT08dq6CljKpIOjamDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:07:49.496080Z","signed_message":"canonical_sha256_bytes"},"source_id":"1608.07968","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2ac52e5b05c0ec18c1333c0a760b3a8bed09f8edaaf33d50bc3f8c8815d2a7a1","sha256:45ad72dbf65ccb3ddf6666da25e9afaa4c53af501d799a480b52cb1d81da2baf"],"state_sha256":"2c33342d326ec834eeba2e66871ad6dc714de7762575d3af557773e772f460f0"}